%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET010+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:42:33 PM UTC 2026
% Result : Theorem 6.52s 6.61s
% Output : Refutation 6.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 134 ( 23 unt; 10 def)
% Number of atoms : 353 ( 35 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 356 ( 137 ~; 186 |; 23 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 101 ( 0 sgn 96 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f3,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
fof(f12,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f13,conjecture,
! [X0,X1,X2] : difference(X0,intersection(X1,X2)) = union(difference(X0,X1),difference(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_difference_and_intersection_and_union) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] : difference(X0,intersection(X1,X2)) = union(difference(X0,X1),difference(X0,X2)),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f19,plain,
? [X0,X1,X2] : difference(X0,intersection(X1,X2)) != union(difference(X0,X1),difference(X0,X2)),
inference(ennf_transformation,[],[f14]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f24]) ).
fof(f31,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X2] :
( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f32,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) )
& ( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f32]) ).
fof(f34,plain,
difference(sK2,intersection(sK3,sK4)) != union(difference(sK2,sK3),difference(sK2,sK4)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f19]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f36,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f37,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f40,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f43,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f58,plain,
! [X0,X1] :
( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f59,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| X0 = X1
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f60,plain,
difference(sK2,intersection(sK3,sK4)) != union(difference(sK2,sK3),difference(sK2,sK4)),
inference(cnf_transformation,[],[f34]) ).
fof(f65,definition,
sF5 = intersection(sK3,sK4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f66,plain,
intersection(sK3,sK4) = sF5,
inference(reorient_equations,[],[f65]) ).
fof(f67,definition,
sF6 = difference(sK2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f68,plain,
difference(sK2,sF5) = sF6,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF7 = difference(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f70,plain,
difference(sK2,sK3) = sF7,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF8 = difference(sK2,sK4),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f72,plain,
difference(sK2,sK4) = sF8,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF9 = union(sF7,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f74,plain,
union(sF7,sF8) = sF9,
inference(reorient_equations,[],[f73]) ).
fof(f75,plain,
sF6 != sF9,
inference(definition_folding,[],[f60,f74,f72,f70,f68,f66]) ).
fof(f79,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sF9) ),
inference(superposition,[],[f36,f74]) ).
fof(f85,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sF9) ),
inference(superposition,[],[f37,f74]) ).
fof(f88,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sK4) ),
inference(superposition,[],[f38,f66]) ).
fof(f91,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sK3) ),
inference(superposition,[],[f39,f66]) ).
fof(f94,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(X0,sF5) ),
inference(superposition,[],[f41,f68]) ).
fof(f95,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,sK3) ),
inference(superposition,[],[f41,f70]) ).
fof(f96,plain,
! [X0] :
( ~ member(X0,sF8)
| ~ member(X0,sK4) ),
inference(superposition,[],[f41,f72]) ).
fof(f97,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sK2) ),
inference(superposition,[],[f42,f68]) ).
fof(f98,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sK2) ),
inference(superposition,[],[f42,f70]) ).
fof(f99,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sK2) ),
inference(superposition,[],[f42,f72]) ).
fof(f142,plain,
! [X0] :
( ~ member(X0,sF9)
| member(X0,sF8)
| member(X0,sF7) ),
inference(superposition,[],[f35,f74]) ).
fof(f148,plain,
! [X0] :
( ~ member(X0,sK4)
| ~ member(X0,sK3)
| member(X0,sF5) ),
inference(superposition,[],[f40,f66]) ).
fof(f155,plain,
! [X0] :
( ~ member(X0,sK2)
| member(X0,sF7)
| member(X0,sK3) ),
inference(superposition,[],[f43,f70]) ).
fof(f156,plain,
! [X0] :
( ~ member(X0,sK2)
| member(X0,sF8)
| member(X0,sK4) ),
inference(superposition,[],[f43,f72]) ).
fof(f170,plain,
! [X0] :
( member(sK1(X0,sF6),sK2)
| member(sK1(X0,sF6),X0)
| sF6 = X0 ),
inference(resolution,[],[f58,f97]) ).
fof(f198,plain,
! [X2,X0,X1] :
( ~ member(sK1(X0,difference(X1,X2)),X1)
| ~ member(sK1(X0,difference(X1,X2)),X0)
| difference(X1,X2) = X0
| member(sK1(X0,difference(X1,X2)),X2) ),
inference(resolution,[],[f59,f43]) ).
fof(f229,plain,
! [X0] :
( member(sK1(sF9,X0),sF8)
| member(sK1(sF9,X0),X0)
| member(sK1(sF9,X0),sF7)
| sF9 = X0 ),
inference(resolution,[],[f142,f58]) ).
fof(f1390,plain,
! [X0] :
( ~ member(sK1(X0,sF6),sK2)
| ~ member(sK1(X0,sF6),X0)
| sF6 = X0
| member(sK1(X0,sF6),sF5) ),
inference(superposition,[],[f198,f68]) ).
fof(f2455,plain,
( member(sK1(sF9,sF6),sK2)
| sF6 = sF9
| member(sK1(sF9,sF6),sF8)
| member(sK1(sF9,sF6),sF7) ),
inference(resolution,[],[f170,f142]) ).
fof(f4357,plain,
( member(sK1(sF9,sF6),sF8)
| member(sK1(sF9,sF6),sF7)
| sF6 = sF9
| ~ member(sK1(sF9,sF6),sF5) ),
inference(resolution,[],[f229,f94]) ).
fof(f9699,definition,
( spl10_272
<=> member(sK1(sF9,sF6),sF5) ),
introduced(definition,[new_symbols(definition,[spl10_272])],[avatar_definition]) ).
fof(f9700,plain,
( member(sK1(sF9,sF6),sF5)
| ~ spl10_272 ),
inference(avatar_component_clause,[],[f9699]) ).
fof(f9701,plain,
( ~ member(sK1(sF9,sF6),sF5)
| spl10_272 ),
inference(avatar_component_clause,[],[f9699]) ).
fof(f9703,definition,
( spl10_273
<=> member(sK1(sF9,sF6),sF8) ),
introduced(definition,[new_symbols(definition,[spl10_273])],[avatar_definition]) ).
fof(f9704,plain,
( ~ member(sK1(sF9,sF6),sF8)
| spl10_273 ),
inference(avatar_component_clause,[],[f9703]) ).
fof(f9705,plain,
( member(sK1(sF9,sF6),sF8)
| ~ spl10_273 ),
inference(avatar_component_clause,[],[f9703]) ).
fof(f9981,definition,
( spl10_277
<=> member(sK1(sF9,sF6),sK3) ),
introduced(definition,[new_symbols(definition,[spl10_277])],[avatar_definition]) ).
fof(f9982,plain,
( ~ member(sK1(sF9,sF6),sK3)
| spl10_277 ),
inference(avatar_component_clause,[],[f9981]) ).
fof(f9983,plain,
( member(sK1(sF9,sF6),sK3)
| ~ spl10_277 ),
inference(avatar_component_clause,[],[f9981]) ).
fof(f9985,definition,
( spl10_278
<=> member(sK1(sF9,sF6),sF7) ),
introduced(definition,[new_symbols(definition,[spl10_278])],[avatar_definition]) ).
fof(f9986,plain,
( ~ member(sK1(sF9,sF6),sF7)
| spl10_278 ),
inference(avatar_component_clause,[],[f9985]) ).
fof(f9987,plain,
( member(sK1(sF9,sF6),sF7)
| ~ spl10_278 ),
inference(avatar_component_clause,[],[f9985]) ).
fof(f9990,definition,
( spl10_279
<=> member(sK1(sF9,sF6),sK4) ),
introduced(definition,[new_symbols(definition,[spl10_279])],[avatar_definition]) ).
fof(f9991,plain,
( ~ member(sK1(sF9,sF6),sK4)
| spl10_279 ),
inference(avatar_component_clause,[],[f9990]) ).
fof(f9992,plain,
( member(sK1(sF9,sF6),sK4)
| ~ spl10_279 ),
inference(avatar_component_clause,[],[f9990]) ).
fof(f10300,plain,
( member(sK1(sF9,sF6),sK3)
| ~ spl10_272 ),
inference(resolution,[],[f9700,f91]) ).
fof(f10301,plain,
( member(sK1(sF9,sF6),sK4)
| ~ spl10_272 ),
inference(resolution,[],[f9700,f88]) ).
fof(f10307,plain,
( spl10_279
| ~ spl10_272 ),
inference(avatar_split_clause,[],[f10301,f9699,f9990]) ).
fof(f10308,plain,
( spl10_277
| ~ spl10_272 ),
inference(avatar_split_clause,[],[f10300,f9699,f9981]) ).
fof(f10423,plain,
( member(sK1(sF9,sF6),sK2)
| ~ spl10_273 ),
inference(resolution,[],[f9705,f99]) ).
fof(f10424,plain,
( ~ member(sK1(sF9,sF6),sK4)
| ~ spl10_273 ),
inference(resolution,[],[f9705,f96]) ).
fof(f10425,plain,
( member(sK1(sF9,sF6),sF9)
| ~ spl10_273 ),
inference(resolution,[],[f9705,f79]) ).
fof(f10433,plain,
( ~ spl10_279
| ~ spl10_273 ),
inference(avatar_split_clause,[],[f10424,f9703,f9990]) ).
fof(f10619,plain,
( ~ member(sK1(sF9,sF6),sK3)
| ~ spl10_278 ),
inference(resolution,[],[f9987,f95]) ).
fof(f10620,plain,
( member(sK1(sF9,sF6),sF9)
| ~ spl10_278 ),
inference(resolution,[],[f9987,f85]) ).
fof(f10633,plain,
( ~ spl10_277
| ~ spl10_278 ),
inference(avatar_split_clause,[],[f10619,f9985,f9981]) ).
fof(f10687,plain,
( ~ member(sK1(sF9,sF6),sK3)
| member(sK1(sF9,sF6),sF5)
| ~ spl10_279 ),
inference(resolution,[],[f9992,f148]) ).
fof(f10693,plain,
( member(sK1(sF9,sF6),sF5)
| ~ spl10_277
| ~ spl10_279 ),
inference(forward_subsumption_resolution,[],[f10687,f9983]) ).
fof(f10694,plain,
( $false
| spl10_272
| ~ spl10_277
| ~ spl10_279 ),
inference(forward_subsumption_resolution,[],[f10693,f9701]) ).
fof(f10695,plain,
( spl10_272
| ~ spl10_277
| ~ spl10_279 ),
inference(avatar_contradiction_clause,[],[f10694]) ).
fof(f10723,plain,
( member(sK1(sF9,sF6),sK2)
| member(sK1(sF9,sF6),sF8)
| member(sK1(sF9,sF6),sF7) ),
inference(forward_subsumption_resolution,[],[f2455,f75]) ).
fof(f10747,plain,
( member(sK1(sF9,sF6),sF7)
| sF6 = sF9
| ~ member(sK1(sF9,sF6),sF5)
| spl10_273 ),
inference(forward_subsumption_resolution,[],[f4357,f9704]) ).
fof(f10805,plain,
( member(sK1(sF9,sF6),sK2)
| member(sK1(sF9,sF6),sF7)
| spl10_273 ),
inference(forward_subsumption_resolution,[],[f10723,f9704]) ).
fof(f10810,plain,
( member(sK1(sF9,sF6),sF7)
| ~ member(sK1(sF9,sF6),sF5)
| spl10_273 ),
inference(forward_subsumption_resolution,[],[f10747,f75]) ).
fof(f10845,plain,
( member(sK1(sF9,sF6),sK2)
| spl10_273 ),
inference(forward_subsumption_resolution,[],[f10805,f98]) ).
fof(f10866,plain,
( member(sK1(sF9,sF6),sF7)
| ~ spl10_272
| spl10_273 ),
inference(forward_subsumption_resolution,[],[f10810,f9700]) ).
fof(f10893,plain,
( $false
| ~ spl10_272
| spl10_273
| spl10_278 ),
inference(forward_subsumption_resolution,[],[f10866,f9986]) ).
fof(f10894,plain,
( ~ spl10_272
| spl10_273
| spl10_278 ),
inference(avatar_contradiction_clause,[],[f10893]) ).
fof(f10938,plain,
( ~ member(sK1(sF9,sF6),sF9)
| sF6 = sF9
| member(sK1(sF9,sF6),sF5)
| spl10_273 ),
inference(resolution,[],[f10845,f1390]) ).
fof(f10939,plain,
( member(sK1(sF9,sF6),sF8)
| member(sK1(sF9,sF6),sK4)
| spl10_273 ),
inference(resolution,[],[f10845,f156]) ).
fof(f10940,plain,
( member(sK1(sF9,sF6),sF7)
| member(sK1(sF9,sF6),sK3)
| spl10_273 ),
inference(resolution,[],[f10845,f155]) ).
fof(f10948,plain,
( member(sK1(sF9,sF6),sK3)
| spl10_273
| spl10_278 ),
inference(forward_subsumption_resolution,[],[f10940,f9986]) ).
fof(f10949,plain,
( ~ member(sK1(sF9,sF6),sF9)
| member(sK1(sF9,sF6),sF5)
| spl10_273 ),
inference(forward_subsumption_resolution,[],[f10938,f75]) ).
fof(f10950,plain,
( $false
| spl10_273
| spl10_277
| spl10_278 ),
inference(forward_subsumption_resolution,[],[f10948,f9982]) ).
fof(f10951,plain,
( spl10_273
| spl10_277
| spl10_278 ),
inference(avatar_contradiction_clause,[],[f10950]) ).
fof(f10952,plain,
( ~ member(sK1(sF9,sF6),sF9)
| spl10_272
| spl10_273 ),
inference(forward_subsumption_resolution,[],[f10949,f9701]) ).
fof(f10953,plain,
( $false
| spl10_272
| spl10_273
| ~ spl10_278 ),
inference(forward_subsumption_resolution,[],[f10620,f10952]) ).
fof(f10954,plain,
( spl10_272
| spl10_273
| ~ spl10_278 ),
inference(avatar_contradiction_clause,[],[f10953]) ).
fof(f10955,plain,
( member(sK1(sF9,sF6),sK4)
| spl10_273 ),
inference(forward_subsumption_resolution,[],[f10939,f9704]) ).
fof(f10956,plain,
( $false
| spl10_273
| spl10_279 ),
inference(forward_subsumption_resolution,[],[f10955,f9991]) ).
fof(f10957,plain,
( spl10_273
| spl10_279 ),
inference(avatar_contradiction_clause,[],[f10956]) ).
fof(f11256,plain,
( ~ member(sK1(sF9,sF6),sF9)
| sF6 = sF9
| member(sK1(sF9,sF6),sF5)
| ~ spl10_273 ),
inference(resolution,[],[f10423,f1390]) ).
fof(f11266,plain,
( sF6 = sF9
| member(sK1(sF9,sF6),sF5)
| ~ spl10_273 ),
inference(forward_subsumption_resolution,[],[f11256,f10425]) ).
fof(f11267,plain,
( member(sK1(sF9,sF6),sF5)
| ~ spl10_273 ),
inference(forward_subsumption_resolution,[],[f11266,f75]) ).
fof(f11268,plain,
( $false
| spl10_272
| ~ spl10_273 ),
inference(forward_subsumption_resolution,[],[f11267,f9701]) ).
fof(f11269,plain,
( spl10_272
| ~ spl10_273 ),
inference(avatar_contradiction_clause,[],[f11268]) ).
cnf(s309,plain,
( ~ spl10_272
| spl10_279 ),
inference(sat_conversion,[],[f10307]) ).
cnf(s310,plain,
( ~ spl10_272
| spl10_277 ),
inference(sat_conversion,[],[f10308]) ).
cnf(s312,plain,
( ~ spl10_273
| ~ spl10_279 ),
inference(sat_conversion,[],[f10433]) ).
cnf(s314,plain,
( ~ spl10_277
| ~ spl10_278 ),
inference(sat_conversion,[],[f10633]) ).
cnf(s315,plain,
( spl10_272
| ~ spl10_277
| ~ spl10_279 ),
inference(sat_conversion,[],[f10695]) ).
cnf(s321,plain,
( ~ spl10_272
| spl10_273
| spl10_278 ),
inference(sat_conversion,[],[f10894]) ).
cnf(s322,plain,
( spl10_273
| spl10_277
| spl10_278 ),
inference(sat_conversion,[],[f10951]) ).
cnf(s323,plain,
( spl10_272
| spl10_273
| ~ spl10_278 ),
inference(sat_conversion,[],[f10954]) ).
cnf(s324,plain,
( spl10_273
| spl10_279 ),
inference(sat_conversion,[],[f10957]) ).
cnf(s333,plain,
( spl10_272
| ~ spl10_273 ),
inference(sat_conversion,[],[f11269]) ).
cnf(s334,plain,
( spl10_272
| spl10_273 ),
inference(rat,[],[s315,s322,s324,s323]) ).
cnf(s335,plain,
spl10_272,
inference(rat,[],[s334,s333]) ).
cnf(s336,plain,
spl10_277,
inference(rat,[],[s310,s335]) ).
cnf(s337,plain,
spl10_279,
inference(rat,[],[s309,s335]) ).
cnf(s338,plain,
~ spl10_278,
inference(rat,[],[s314,s336]) ).
cnf(s339,plain,
~ spl10_273,
inference(rat,[],[s312,s337]) ).
cnf(s340,plain,
$false,
inference(rat,[],[s321,s335,s339,s338]) ).
fof(f11270,plain,
$false,
inference(avatar_sat_refutation,[],[s340]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET010+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/5.61 % Computer : n016.cluster.edu
% 0.12/5.61 % Model : x86_64 x86_64
% 0.12/5.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.61 % Memory : 8046.5625MB
% 0.12/5.61 % OS : Linux 6.8.0-71-generic
% 0.12/5.61 % CPULimit : 300
% 0.12/5.61 % WCLimit : 300
% 0.12/5.61 % DateTime : Mon Sep 28 00:08:24 UTC 2026
% 0.12/5.61 % CPUTime :
% 0.12/5.61 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/5.64 Running first-order model finding
% 0.12/5.65 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.52/6.61 % (3136173)Will run a generic schedule for satisfiability detection.
% 6.52/6.61 % (3136182)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2115999201:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.52/6.61 % (3136181)% WARNING: option uhcvi not known.
% 6.52/6.61 % (3136180)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2803598365_2999 on theBenchmark for (2999ds/0Mi)
% 6.52/6.61 % (3136181)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1429567124:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.52/6.61 % (3136183)dis+10_1_sil=32000:sp=arity:random_seed=471383561:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.52/6.61 % (3136186)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1881973980:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.52/6.61 % (3136184)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4170487154:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.52/6.61 % TRYING [1]
% 6.52/6.61 % TRYING [2]
% 6.52/6.61 % (3136188)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3640166736:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.52/6.61 % TRYING [3]
% 6.52/6.61 % TRYING [4]
% 6.52/6.61 % TRYING [5]
% 6.52/6.61 % (3136183)Instruction limit reached!
% 6.52/6.61 % (3136183)------------------------------
% 6.52/6.61 % (3136183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/6.61 % (3136183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/6.61 % (3136183)CaDiCaL version: 2.1.3
% 6.52/6.61 % (3136183)Termination reason: Instruction limit
% 6.52/6.61 % (3136183)Termination phase: Saturation
% 6.52/6.61 % (3136183)Time elapsed: 0.063 s
% 6.52/6.61 % (3136183)Peak memory usage: 12 MB
% 6.52/6.61 % (3136183)Instructions burned: 103 (million)
% 6.52/6.61 % (3136184)Instruction limit reached!
% 6.52/6.61 % (3136184)------------------------------
% 6.52/6.61 % (3136184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/6.61 % (3136184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/6.61 % (3136184)CaDiCaL version: 2.1.3
% 6.52/6.61 % (3136184)Termination reason: Instruction limit
% 6.52/6.61 % (3136184)Termination phase: Saturation
% 6.52/6.61 % (3136184)Time elapsed: 0.066 s
% 6.52/6.61 % (3136184)Peak memory usage: 12 MB
% 6.52/6.61 % (3136184)Instructions burned: 116 (million)
% 6.52/6.61 % (3136186)Instruction limit reached!
% 6.52/6.61 % (3136186)------------------------------
% 6.52/6.61 % (3136186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/6.61 % (3136186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/6.61 % (3136186)CaDiCaL version: 2.1.3
% 6.52/6.61 % (3136186)Termination reason: Instruction limit
% 6.52/6.61 % (3136186)Termination phase: Saturation
% 6.52/6.61 % (3136186)Time elapsed: 0.079 s
% 6.52/6.61 % (3136186)Peak memory usage: 12 MB
% 6.52/6.61 % (3136186)Instructions burned: 133 (million)
% 6.52/6.61 % (3136210)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2409597410:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 6.52/6.61 % TRYING [1]
% 6.52/6.61 % TRYING [2]
% 6.52/6.61 % (3136211)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=197610618:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.52/6.61 % TRYING [3]
% 6.52/6.61 % TRYING [4]
% 6.52/6.61 % (3136212)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1350428688:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.52/6.61 % (3136188)Instruction limit reached!
% 6.52/6.61 % (3136188)------------------------------
% 6.52/6.61 % (3136188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/6.61 % (3136188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/6.61 % (3136188)CaDiCaL version: 2.1.3
% 6.52/6.61 % (3136188)Termination reason: Instruction limit
% 6.52/6.61 % (3136188)Termination phase: Saturation
% 6.52/6.61 % (3136188)Time elapsed: 0.099 s
% 6.52/6.61 % (3136188)Peak memory usage: 13 MB
% 6.52/6.61 % (3136188)Instructions burned: 160 (million)
% 6.52/6.61 % (3136216)ott-21_1_sil=16000:fs=off:random_seed=4088104909:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.52/6.61 % TRYING [5]
% 6.52/6.61 % (3136211)Instruction limit reached!
% 6.52/6.61 % (3136211)------------------------------
% 6.52/6.61 % (3136211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/6.61 % (3136211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/6.61 % (3136211)CaDiCaL version: 2.1.3
% 6.52/6.61 % (3136211)Termination reason: Instruction limit
% 6.52/6.61 % (3136211)Termination phase: Saturation
% 6.52/6.61 % (3136211)Time elapsed: 0.083 s
% 6.52/6.61 % (3136211)Peak memory usage: 13 MB
% 6.52/6.61 % (3136211)Instructions burned: 131 (million)
% 6.52/6.61 % (3136218)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3256836086:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.52/6.61 % (3136216)Instruction limit reached!
% 6.52/6.61 % (3136216)------------------------------
% 6.52/6.61 % (3136216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/6.61 % (3136216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/6.61 % (3136216)CaDiCaL version: 2.1.3
% 6.52/6.61 % (3136216)Termination reason: Instruction limit
% 6.52/6.61 % (3136216)Termination phase: Saturation
% 6.52/6.61 % (3136216)Time elapsed: 0.089 s
% 6.52/6.61 % (3136216)Peak memory usage: 12 MB
% 6.52/6.61 % (3136216)Instructions burned: 180 (million)
% 6.52/6.61 % (3136220)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4142576826:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.52/6.61 % TRYING [1]
% 6.52/6.61 % TRYING [2]
% 6.52/6.61 % TRYING [3]
% 6.52/6.61 % TRYING [4]
% 6.52/6.61 % TRYING [5]
% 6.52/6.61 % (3136212)Instruction limit reached!
% 6.52/6.61 % (3136212)------------------------------
% 6.52/6.61 % (3136212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/6.61 % (3136212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/6.61 % (3136212)CaDiCaL version: 2.1.3
% 6.52/6.61 % (3136212)Termination reason: Instruction limit
% 6.52/6.61 % (3136212)Termination phase: Saturation
% 6.52/6.61 % (3136212)Time elapsed: 0.375 s
% 6.52/6.61 % (3136212)Peak memory usage: 17 MB
% 6.52/6.61 % (3136212)Instructions burned: 685 (million)
% 6.52/6.61 % (3136218)Instruction limit reached!
% 6.52/6.61 % (3136218)------------------------------
% 6.52/6.61 % (3136218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/6.61 % (3136218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/6.61 % (3136218)CaDiCaL version: 2.1.3
% 6.52/6.61 % (3136218)Termination reason: Instruction limit
% 6.52/6.61 % (3136218)Termination phase: Saturation
% 6.52/6.61 % (3136218)Time elapsed: 0.290 s
% 6.52/6.61 % (3136218)Peak memory usage: 15 MB
% 6.52/6.61 % (3136218)Instructions burned: 478 (million)
% 6.52/6.61 % (3136222)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1498955805:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 6.52/6.61 % (3136223)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2642160158:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 6.52/6.61 % TRYING [14]
% 6.52/6.61 % (3136210)Instruction limit reached!
% 6.52/6.61 % (3136210)------------------------------
% 6.52/6.61 % (3136210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/6.61 % (3136210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/6.61 % (3136210)CaDiCaL version: 2.1.3
% 6.52/6.61 % (3136210)Termination reason: Instruction limit
% 6.52/6.61 % (3136210)Termination phase: Finite model building SAT solving
% 6.52/6.61 % (3136210)Time elapsed: 0.432 s
% 6.52/6.61 % (3136210)Peak memory usage: 14 MB
% 6.52/6.61 % (3136210)Instructions burned: 714 (million)
% 6.52/6.61 % (3136226)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1262415299:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 6.52/6.61 % (3136220)Instruction limit reached!
% 6.52/6.61 % (3136220)------------------------------
% 6.52/6.61 % (3136220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/6.61 % (3136220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/6.61 % (3136220)CaDiCaL version: 2.1.3
% 6.52/6.61 % (3136220)Termination reason: Instruction limit
% 6.52/6.61 % (3136220)Termination phase: Finite model building SAT solving
% 6.52/6.61 % (3136220)Time elapsed: 0.498 s
% 6.52/6.61 % (3136220)Peak memory usage: 12 MB
% 6.52/6.61 % (3136220)Instructions burned: 865 (million)
% 6.52/6.61 % (3136228)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1680754604:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 6.52/6.61 % (3136223)Instruction limit reached!
% 6.52/6.61 % (3136223)------------------------------
% 6.52/6.61 % (3136223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/6.61 % (3136223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/6.61 % (3136223)CaDiCaL version: 2.1.3
% 6.52/6.61 % (3136223)Termination reason: Instruction limit
% 6.52/6.61 % (3136223)Termination phase: Finite model building constraint generation
% 6.52/6.61 % (3136223)Time elapsed: 0.371 s
% 6.52/6.61 % (3136223)Peak memory usage: 63 MB
% 6.52/6.61 % (3136223)Instructions burned: 890 (million)
% 6.52/6.61 % (3136230)fmb+10_1_sil=64000:random_seed=3183176671:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 6.52/6.61 % TRYING [1]
% 6.52/6.61 % TRYING [2]
% 6.52/6.61 % TRYING [3]
% 6.52/6.61 % TRYING [4]
% 6.52/6.61 % (3136222) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3136173-3136222"...
% 6.52/6.61 % (3136222)...printing done.
% 6.52/6.61 % (3136222)Refutation found. Thanks to Tanya!
% 6.52/6.61 % SZS status Theorem for theBenchmark
% 6.52/6.61 % SZS output start Proof for theBenchmark
% See solution above
% 6.52/6.61 % (3136222)------------------------------
% 6.52/6.61 % (3136222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/6.61 % (3136222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/6.61 % (3136222)CaDiCaL version: 2.1.3
% 6.52/6.61 % (3136222)Termination reason: Refutation
% 6.52/6.61 % (3136222)Time elapsed: 0.417 s
% 6.52/6.61 % (3136222)Peak memory usage: 18 MB
% 6.52/6.61 % (3136222)Instructions burned: 709 (million)
% 6.52/6.61 % (3136173)Success in time 0.956 s
% 6.52/6.61 % Vampire exiting
%------------------------------------------------------------------------------